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Select all sets of triangles that can be provencongruent using Side-Angle-Side(SAS).

Select all sets of triangles that can be provencongruent using Side-Angle-Side(SAS-example-1
User Anorakgirl
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1 Answer

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9 votes

SOLUTION

We want to select all triangles from the image that can be proven by the side angle side theorem which states that

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Now looking at the triangles

We can see that triangles in number 1, 2, 3 follows this theorem.

4 does not because the equal angles are not present

5, the triangles are congruent, but do not follow the SAS theorem

6 follows as we can see the equal sides and angle

7 shows two equal angles only, but we need one equal angles and two equal sides.

Hence the answer is 1, 2, 3 and 6 only

User Keng
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